Universal canonical black hole entropy

Abstract

Non-rotating black holes in three and four dimensions are shown to possess a canonical entropy obeying the Bekenstein-Hawking area law together with a leading correction (for large horizon areas) given by the logarithm of the area with a {\it universal} finite negative coefficient, provided one assumes that the quantum black hole mass spectrum has a power law relation with the quantum area spectrum found in Non-perturbative Canonical Quantum General Relativity. The thermal instability associated with asymptotically flat black holes appears in the appropriate domain for the index characterising this power law relation, where the canonical entropy (free energy) is seen to turn complex.

Revtex, 5 pages, no figures. Typos corrected and a footnote and some references added

References in corpus (6)

• General Logarithmic Corrections to Black Hole Entropy
• Geometry of Generic Isolated Horizons
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Thermal Fluctuations and Black Hole Entropy
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